Search a number
-
+
10240204014 = 23217191761301
BaseRepresentation
bin10011000100101110…
…10001110011101110
3222102122202021002100
421202113101303232
5131432443012024
64412043035530
7511522204125
oct114227216356
928378667070
1010240204014
114385367927
121b9950bba6
13c726b0121
146d200cabc
153ee0097c9
hex2625d1cee

10240204014 has 48 divisors (see below), whose sum is σ = 24728680080. Its totient is φ = 3043526400.

The previous prime is 10240204001. The next prime is 10240204057. The reversal of 10240204014 is 41040204201.

10240204014 is a `hidden beast` number, since 1 + 0 + 240 + 20 + 401 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 874837 + ... + 886464.

It is an arithmetic number, because the mean of its divisors is an integer number (515180835).

Almost surely, 210240204014 is an apocalyptic number.

10240204014 is an abundant number, since it is smaller than the sum of its proper divisors (14488476066).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10240204014 is a wasteful number, since it uses less digits than its factorization.

10240204014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761345 (or 1761342 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10240204014 its reverse (41040204201), we get a palindrome (51280408215).

The spelling of 10240204014 in words is "ten billion, two hundred forty million, two hundred four thousand, fourteen".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 306 323 342 646 969 1938 2907 5814 1761301 3522602 5283903 10567806 15851709 29942117 31703418 33464719 59884234 66929438 89826351 100394157 179652702 200788314 269479053 301182471 538958106 568900223 602364942 1137800446 1706700669 3413401338 5120102007 10240204014